Duke Mathematical Journal

Nilpotence for modules over the $\mod 2$ Steenrod algebra, II

John H. Palmieri
Source: Duke Math. J. Volume 82, Number 1 (1996), 209-226.
First Page: Show Hide

Related Works:

Primary Subjects: 55S10
Secondary Subjects: 18G15, 55P42
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077244845
Mathematical Reviews number (MathSciNet): MR1387226
Zentralblatt MATH identifier: 0876.55013
Digital Object Identifier: doi:10.1215/S0012-7094-96-08209-5

References

[1] G. S. Avrunin and L. L. Scott, Quillen stratification for modules, Invent. Math. 66 (1982), no. 2, 277–286.
Mathematical Reviews (MathSciNet): MR83h:20048
Zentralblatt MATH: 0489.20042
Digital Object Identifier: doi:10.1007/BF01389395
[2]1 D. J. Benson, Representations and cohomology. I, Cambridge Studies in Advanced Mathematics, vol. 30, Cambridge University Press, Cambridge, 1991.
Mathematical Reviews (MathSciNet): MR92m:20005
Zentralblatt MATH: 0718.20001
[2]2 D. J. Benson, Representations and cohomology. II, Cambridge Studies in Advanced Mathematics, vol. 31, Cambridge University Press, Cambridge, 1991.
Mathematical Reviews (MathSciNet): MR93g:20099
Zentralblatt MATH: 0731.20001
[3] J. F. Carlson, Complexity and Krull dimension, Representations of algebras (Puebla, 1980), Lecture Notes in Math., vol. 903, Springer, Berlin, 1981, pp. 62–67.
Mathematical Reviews (MathSciNet): MR83h:16033
Zentralblatt MATH: 0475.20040
[4] E. S. Devinatz, M. J. Hopkins, and J. H. Smith, Nilpotence and stable homotopy theory. I, Ann. of Math. (2) 128 (1988), no. 2, 207–241.
Mathematical Reviews (MathSciNet): MR89m:55009
Zentralblatt MATH: 0673.55008
Digital Object Identifier: doi:10.2307/1971440
[5] L. Evens, The cohomology ring of a finite group, Trans. Amer. Math. Soc. 101 (1961), 224–239.
Mathematical Reviews (MathSciNet): MR25:1191
Zentralblatt MATH: 0104.25101
Digital Object Identifier: doi:10.2307/1993372
[6] M. J. Hopkins, Global methods in homotopy theory, Homotopy theory (Durham, 1985), London Math. Soc. Lecture Note Ser., vol. 117, Cambridge Univ. Press, Cambridge, 1987, Proceedings of the Durham Symposium on Homotopy Theory, pp. 73–96.
Mathematical Reviews (MathSciNet): MR89g:55022
Zentralblatt MATH: 0657.55008
[7] M. J. Hopkins and J. H. Smith, Nilpotence and stable homotopy theory II, preprint.
Mathematical Reviews (MathSciNet): MR1652975
Zentralblatt MATH: 0927.55015
Digital Object Identifier: doi:10.2307/120991
[8] H. R. Margolis, Spectra and the Steenrod algebra, North-Holland Mathematical Library, vol. 29, North-Holland Publishing Co., Amsterdam, 1983.
Mathematical Reviews (MathSciNet): MR86j:55001
Zentralblatt MATH: 0552.55002
[9] H. R. Miller, A localization theorem in homological algebra, Math. Proc. Cambridge Philos. Soc. 84 (1978), no. 1, 73–84.
Mathematical Reviews (MathSciNet): MR58:13036
Zentralblatt MATH: 0388.55013
Digital Object Identifier: doi:10.1017/S0305004100054906
[10] S. Mitchell, Finite complexes with $A(n)$-free cohomology, Topology 24 (1985), no. 2, 227–246.
Mathematical Reviews (MathSciNet): MR86k:55007
Zentralblatt MATH: 0568.55021
Digital Object Identifier: doi:10.1016/0040-9383(85)90057-6
[11] J.H. Palmieri, Nilpotence for modules over the mod $2$ Steenrod algebra. I, II, Duke Math. J. 82 (1996), no. 1, 195–208, 209–226.
Mathematical Reviews (MathSciNet): MR97c:55028
Zentralblatt MATH: 0876.55012
Digital Object Identifier: doi:10.1215/S0012-7094-96-08208-3
Project Euclid: euclid.dmj/1077244844
[12] J. H. Palmieri, Self-maps of modules over the Steenrod algebra, J. Pure Appl. Algebra 79 (1992), no. 3, 281–291.
Mathematical Reviews (MathSciNet): MR93d:55023
Zentralblatt MATH: 0755.55009
Digital Object Identifier: doi:10.1016/0022-4049(92)90055-K
[13] J. H. Palmieri and H. Sadofsky, Self-maps of spectra, a theorem of J. Smith, and Margolis' killing construction, Math. Z. 215 (1994), no. 3, 477–490.
Mathematical Reviews (MathSciNet): MR94k:55016
Zentralblatt MATH: 0792.55005
Digital Object Identifier: doi:10.1007/BF02571725
[14] D. G. Quillen, Homotopical algebra, Lecture Notes in Mathematics, No. 43, Springer-Verlag, Berlin, 1967.
Mathematical Reviews (MathSciNet): MR36:6480
Zentralblatt MATH: 0168.20903
[15] D. C. Ravenel, Localization with respect to certain periodic homology theories, Amer. J. Math. 106 (1984), no. 2, 351–414.
Mathematical Reviews (MathSciNet): MR85k:55009
Zentralblatt MATH: 0586.55003
Digital Object Identifier: doi:10.2307/2374308
[16] D. C. Ravenel, Nilpotence and periodicity in stable homotopy theory, Annals of Mathematics Studies, vol. 128, Princeton University Press, Princeton, NJ, 1992.
Mathematical Reviews (MathSciNet): MR94b:55015
Zentralblatt MATH: 0774.55001
[17] J.-L. Verdier, Catégories dérivées, Cohomologie Etale $(SGA 4-1/2)$ ed. P. Deligne, Lecture Notes in Math., vol. 569, Springer-Verlag, Berlin, 1977, pp. 262–311.
Zentralblatt MATH: 0407.18008
Mathematical Reviews (MathSciNet): MR463174
[18] C. Wilkerson, The cohomology algebras of finite-dimensional Hopf algebras, Trans. Amer. Math. Soc. 264 (1981), no. 1, 137–150.
Mathematical Reviews (MathSciNet): MR82e:16019
Zentralblatt MATH: 0465.55010
Digital Object Identifier: doi:10.2307/1998415

2012 © Duke University Press

Duke Mathematical Journal

Duke Mathematical Journal

Turn MathJax Off
What is MathJax?